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Feedback-based quantum algorithms for ground state preparation

Physical Review Research 2024年第3期6卷 033336页

作者： James B. Larsen Matthew D. Grace Andrew D. Baczewski Alicia B. Magann Department of Mathematics Quantum Algorithms and Applications Collaboratory

The ground state properties of quantum many-body systems are a subject of interest across chemistry, materials science, and physics. Thus, algorithms for finding ground states can have broad impacts. Variational quantum algorithms are one class of ground state algorithms that has received significant attention in recent years. These algorithms utilize a hybrid quantum-classical computing framework to prepare ground states on quantum computers. However, this requires solving a classical optimization problem that can become prohibitively expensive in high dimensions. Here, we develop formulations of feedback-based quantum algorithms for ground state preparation that can be used to address this challenge for two broad classes of Hamiltonians: Fermi-Hubbard Hamiltonians, and molecular Hamiltonians represented in second quantization. Feedback-based quantum algorithms are optimization-free; in place of classical optimization, quantum circuit parameters are set according to a deterministic feedback law derived from quantum Lyapunov control principles. This feedback law guarantees a monotonic improvement in solution quality with respect to the depth of the quantum circuit. A variety of numerical illustrations are provided that analyze the convergence and robustness of feedback-based quantum algorithms for these problem classes.

关键词： Quantum algorithms for chemical calculations Quantum control

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3D trajectory registration for sensor calibration 26

3D trajectory registration for sensor calibration

引用

26th Computer Vision Winter Workshop, CVWW 2023

作者： Tóth, Tekla Valasek, Gábor Hajder, Levente Department of Algorithms and Their Applications Eötvös Loránd University Pázmány Péter s. 1/C Budapest1117 Hungary

Automatic sensor calibration is ubiquitous for robots and autonomous vehicles. Traditional target-based calibration methods typically require multiple registrations of an object in the field of view. However, by moving the object continuously while recording, the 3D positions of the target generate a path that may improve the calibration quality. In this work, we propose a novel curve-based trajectory registration method to enhance calibration accuracy with spherical and checkerboard targets. This approach supplements the existing target position point set with estimated intermediate points after applying spline fitting techniques to the measurements. The curvature of the movement is aligned between the point sets resulting in reduced error between the registered point clouds and more accurate extrinsic calibration parameters. We validate these properties in indoor and outdoor real-world scenarios. © 2023 Copyright for this paper by its authors.

关键词： Calibration

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Performing Joint Measurements of Light with Quantum Computers

Performing Joint Measurements of Light with Quantum Computer...

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Quantum 2.0, QUANTUM 2024 in Quantum 2.0 Conference and Exhibition

作者： Dimitroff, Spencer D. Sarovar, Mohan Center for Quantum Information and Control Department of Physics and Astronomy University of New Mexico AlbuquerqueNM87131 United States Quantum Algorithms and Applications Collaboratory Sandia National Laboratories LivermoreCA94550 United States

We establish a model employing transduction of optical states to qubits in a quantum computer followed by quantum computation to ease the difficulty of performing joint measurements of optical quantum states. © 2... 详细信息

ISBN: (纸本)9781557525185

关键词： Quantum optics

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Self-Healing of Trotter Error in Digital Adiabatic State Preparation

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Physical Review Letters 2023年第6期131卷 060602-060602页

作者： Lucas K. Kovalsky Fernando A. Calderon-Vargas Matthew D. Grace Alicia B. Magann James B. Larsen Andrew D. Baczewski Mohan Sarovar Quantum Algorithms and Applications Collaboratory Sandia National Laboratories Livermore California 94550 USA Quantum Algorithms and Applications Collaboratory Sandia National Laboratories Albuquerque New Mexico 87185 USA Department of Mathematics Brigham Young University Provo Utah 84602 USA

Adiabatic time evolution can be used to prepare a complicated quantum many-body state from one that is easier to synthesize and Trotterization can be used to implement such an evolution digitally. The complex interplay between nonadiabaticity and digitization influences the infidelity of this process. We prove that the first-order Trotterization of a complete adiabatic evolution has a cumulative infidelity that scales as O(T−2δt2) instead of O(T2δt2) expected from general Trotter error bounds, where δt is the time step and T is the total time. This result suggests a self-healing mechanism and explains why, despite increasing T, infidelities for fixed-δt digitized evolutions still decrease for a wide variety of Hamiltonians. It also establishes a correspondence between the quantum approximate optimization algorithm and digitized quantum annealing.

关键词： Adiabatic quantum optimization Quantum algorithms Quantum computation Quantum simulation

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CS-Based Energy-Efficient Service Allocation in Cloud 1

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4th International Conference on Advances in Distributed Computing and Machine Learning, ICADCML 2023

作者： Kumar Mishra, Sambit Kumar Sahoo, Subham Kumar Swain, Chinmaya Guru, Abhishek Kumar Sethy, Pramod Sahoo, Bibhudatta Department CSE SRM University-AP Guntur India KL deemed to be University Guntur India Department of Algorithms and Their Applications Eötvös Loránd University Budapest Hungary National Institute of Technology Rourkela Rourkela India

ISBN: (数字)9789819912032

ISBN: (纸本)9789819912025

Nowadays, cloud computing is growing rapidly and has been developed as an adequate and adaptable paradigm in solving large-scale problems. Since the number of cloud users and their requests are increasing fast, the loads on the cloud data center may be under-loaded or over-loaded. These circumstances induce various problems, such as high response time and energy consumption. High energy consumption in the cloud data center has drastic negative impacts on the environment. Literature shows that scheduling plays a significant role in the reduction of energy consumption. In the recent decade, this problem has attracted huge interest among researchers, and several solutions have been proposed. Energy-efficient service (task) allocation with high Customer Satisfaction (CS) constraint has become a critical problem of a cloud. In this paper, a high CS-based energy-efficient service allocation framework has been designed. This optimizes the energy consumption as well as the CS level in the cloud. The proposed algorithm is simulated in CloudSim simulator and compared with some standard algorithms. The simulation results show in favor of the proposed algorithm. © 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

关键词： Customer satisfaction

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Robust Quantum Control via Multipath Interference for Thousandfold Phase Amplification in a Resonant Atom Interferometer

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Physical Review Letters 2024年第24期133卷 243403-243403页

作者： Yiping Wang Jonah Glick Tejas Deshpande Kenneth DeRose Sharika Saraf Natasha Sachdeva Kefeng Jiang Zilin Chen Tim Kovachy Department of Physics and Astronomy and Center for Fundamental Physics Northwestern University Evanston Illinois 60208 USA Q-CTRL Quantum Applications and Algorithms Division Santa Monica California 90401 USA

We introduce a novel technique for enhancing the robustness of light-pulse atom interferometers against the pulse infidelities that typically limit their sensitivities. The technique uses quantum optimal control to favorably harness the multipath interference of the stray trajectories produced by imperfect atom-optics operations. We apply this method to a resonant atom interferometer and achieve thousandfold phase amplification, representing a 50-fold improvement over the performance observed without optimized control. Moreover, we find that spurious interference can arise from the interplay of spontaneous emission and many-pulse sequences and demonstrate optimization strategies to mitigate this effect. Given the ubiquity of spontaneous emission in quantum systems, these results may be valuable for improving the performance of a diverse array of quantum sensors. We anticipate our findings will significantly benefit the performance of matter-wave interferometers for a variety of applications, including dark matter, dark energy, and gravitational wave detection.

关键词： Atoms

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Quantum simulation of weak-field light-matter interactions

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Physical Review Research 2023年第1期5卷 013027-013027页

作者： Steve M. Young Hartmut Häffner Mohan Sarovar Quantum Algorithms and Applications Collaboratory Sandia National Laboratories Albuquerque New Mexico 87185 USA Department of Physics University of California Berkeley California 94720 USA Quantum Algorithms and Applications Collaboratory Sandia National Laboratories Livermore California 94550 USA

Simulation of the interaction of light with matter, including at the few-photon level, is important for understanding the optical and optoelectronic properties of materials and for modeling next-generation nonlinear spectroscopies that use entangled light. At the few-photon level the quantum properties of the electromagnetic field must be accounted for with a quantized treatment of the field, and then such simulations quickly become intractable, especially if the matter subsystem must be modeled with a large number of degrees of freedom, as can be required to accurately capture many-body effects and quantum noise sources. Motivated by this we develop a quantum simulation framework for simulating such light-matter interactions on platforms with controllable bosonic degrees of freedom, such as vibrational modes in the trapped ion platform. The key innovation in our work is a scheme for simulating interactions with a continuum field using only a few discrete bosonic modes, which is enabled by a Green's function (response function) formalism. We develop the simulation approach, sketch how the simulation can be performed using trapped ions, and then illustrate the method with numerical examples. Our work expands the reach of quantum simulation to important light-matter interaction models and illustrates the advantages of extracting dynamical quantities such as response functions from quantum simulations.

关键词： Quantum algorithms Quantum simulation

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Surrogate-based optimization for variational quantum algorithms

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Physical Review A 2023年第3期107卷 032415-032415页

作者： Ryan Shaffer Lucas Kocia Mohan Sarovar Department of Physics University of California Berkeley California 94720 USA Quantum Algorithms and Applications Collaboratory Sandia National Laboratories Livermore California 94550 USA

Variational quantum algorithms are a class of techniques intended to be used on near-term quantum computers. The goal of these algorithms is to perform large quantum computations by breaking the problem down into a large number of shallow quantum circuits, complemented by classical optimization and feedback between each circuit execution. One path for improving the performance of these algorithms is to enhance the classical optimization technique. Given the relative ease and abundance of classical computing resources, there is ample opportunity to do so. In this work, we introduce the idea of learning surrogate models for variational circuits using a few experimental measurements, and then performing parameter optimization using these models as opposed to the original data. We demonstrate this idea using a surrogate model based on kernel approximations, through which we reconstruct local patches of variational cost functions using batches of noisy quantum circuit results. Through application to the quantum approximate optimization algorithm and preparation of ground states for molecules, we demonstrate the superiority of surrogate-based optimization over commonly used optimization techniques for variational algorithms.

关键词： Optimization problems Quantum algorithms Quantum theory Quantum spin models Data analysis Numerical approximation & analysis Probability theory Variational approach

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Robust Quantum Control via Multipath Interference for Thousandfold Phase Amplification in a Resonant Atom Interferometer

arXiv

引用

arXiv 2024年

作者： Wang, Yiping Glick, Jonah Deshpande, Tejas DeRose, Kenneth Saraf, Sharika Sachdeva, Natasha Jiang, Kefeng Chen, Zilin Kovachy, Tim Department of Physics and Astronomy Center for Fundamental Physics Northwestern University United States Q-CTRL Quantum Applications and Algorithms Division United States

We introduce a novel technique for enhancing the robustness of light-pulse atom interferometers against the pulse infidelities that typically limit their sensitivities. The technique uses quantum optimal control to favorably harness the multipath interference of the stray trajectories produced by imperfect atom-optics operations. We apply this method to a resonant atom interferometer and achieve thousand-fold phase amplification, representing a fifty-fold improvement over the performance observed without optimized control. Moreover, we find that spurious interference can arise from the interplay of spontaneous emission and many-pulse sequences and demonstrate optimization strategies to mitigate this effect. Given the ubiquity of spontaneous emission in quantum systems, these results may be valuable for improving the performance of a diverse array of quantum sensors. We anticipate our findings will significantly benefit the performance of matter-wave interferometers for a variety of applications, including dark matter, dark energy, and gravitational wave detection. Copyright © 2024, The Authors. All rights reserved.

关键词： Atoms

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Pose-graph via Adaptive Image Re-ordering 33

Pose-graph via Adaptive Image Re-ordering

引用

33rd British Machine Vision Conference Proceedings, BMVC 2022

作者： Barath, Daniel Noskova, Jana Eichhardt, Ivan Matas, Jiri Computer Vision and Geometry Group ETH Zurich Switzerland Visual Recognition Group FEE CTU in Prague Czech Republic Algorithms and Applications Department Eotvos Lorand University Budapest Hungary

We introduce novel methods that speed up the pose-graph generation for global Structure-from-Motion algorithms. We replace the widely used "accept-or-reject" strategy for image pairs, where often thousands of RANSAC iterations are wasted on pairs with low inlier ratio or on non-matchable ones. The new algorithm exploits the fact that every unsuccessful RANSAC iteration reduces the probability of an image pair being matchable, i.e., it reduces its inlier ratio expectation. The method always selects the most promising pair for matching. While running RANSAC on the pair, it updates the distribution of its inlier ratio probability in a principled way via a Bayesian approach. Once the expected inlier ratio drops below an adaptive threshold, the method puts back the pair in the processing queue ordered by the updated inlier ratio expectations. The algorithms are tested on more than 600k real image pairs. They accelerate the pose-graph generation by an order-of-magnitude on average. The source code is available at https://***/danini/pose-graph-creation. © 2022. The copyright of this document resides with its authors.

关键词： Iterative methods

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